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Finding the Fourth Proportional to 20,697.74, 31,038.10 and 8,216.04

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Solution

The fourth proportional to 20,697.74, 31,038.10 and 8,216.04 is: 12,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.74 : 31,038.10 = 8,216.04 : x
  2. Step 2: Convert to fraction form
    20,697.74/31,038.10 = 8,216.04/x
  3. Step 3: Cross multiply
    20,697.74x = 31,038.10 × 8,216.04
  4. Step 4: Simplify right side
    20,697.74x = 255,010,271.12
  5. Step 5: Solve for x
    x = 255,010,271.12/20,697.74
  6. Step 6: Final answer
    x = 12,320.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.